Time value of money worksheet with answers

Free printable Time value of money worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________   Date: ____________

1.Easy
years0123…9PV = ?€10 000€10 000€10 000…

A foundation wants to pay a prize of €10 000 at the end of every year, forever. The fund earns 3% interest per year. How much must be invested today? Find PV.

A = €10 000i = 3%
PV = €
2.Easy
years01234€1 500FV = ?

You deposit €1 500 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 4 years? Find the future value FV.

PV = €1 500i = 7%n = 4
FV = €
3.Medium
years0123…9€20 000FV = ?

You invest €20 000 at a nominal rate of 3.6% per year, compounded quarterly. Find the value FV of the investment after 9 years.

PV = €20 0003.6% / 4n = 9
FV = €
4.Medium
years01234€2 000FV = ?

You invest €2 000 at a nominal rate of 3.6% per year, compounded monthly. Find the value FV of the investment after 4 years.

PV = €2 0003.6% / 12n = 4
FV = €
5.Hard
months0123…168A?AA€100 000

You want €100 000 in 14 years. You save the same amount at the end of every month in an account paying 6% per year, compounded monthly. Find the monthly deposit A.

FV = €100 0006% / 12N = 168
A = €
6.Hard
months0123…N = ?€8 000€125€125€125€1252.4% / 12

You borrow €8 000 at 2.4% per year, compounded monthly, and repay €125 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.

P = €8 000A = €1252.4% / 12
N = payments

Answer key

  1. 1. PV = 333333 €
  2. 2. FV = 1966 €
  3. 3. FV = 27613 €
  4. 4. FV = 2309 €
  5. 5. A = 381.2 €
  6. 6. N = 69 payments

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